Triangles ABD and ACE are similar right triangles. Which best describes how to find
1 answer:
The best description of how to find the equation of the line is: D. BD/DA = CE/CA, so 4/2 = y - 3/x ; solve for y to get y = 2x + 3.
<h3>How to Find the Equation of a Line?</h3>To find the equation of a line, find the slope of the line, using the equation: Slope (m) = change in y/change in x = vertical distance/horizontal distance along a line.
The slope of any two points on a line will be the same with any other two points on the same line. Therefore, the slope of the line in the given diagram is calculated as:
Slope (m) = BD/DA = CE/CA
Substitute
4/2 = y - 3/x
2(y - 3) = 4x
y - 3 = 4x/2
y - 3 = 2x
y = 2x + 3
Therefore, the best description of how to find the equation of the line is: D. BD/DA = CE/CA, so 4/2 = y - 3/x ; solve for y to get y = 2x + 3.
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Answer:
19.51% probability that none of them voted in the last election
Step-by-step explanation:
For each American, there are only two possible outcomes. Either they voted in the previous national election, or they did not. The probability of an American voting in the previous election is independent of other Americans. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
42% of Americans voted in the previous national election.
This means that
Three Americans are randomly selected
This means that
What is the probability that none of them voted in the last election
This is P(X = 0).
19.51% probability that none of them voted in the last election